It would be great if BeatBuddy starts with the tempo and drumset that was last used before to shut down. Exactly with the last used beat.
Vote for a quantize function. With the degrees from gentle to hard.
Quantizing is incorporated with the new–but still beta–version of BeatBuddy Manager and it appears that quantizing is an on or off function (does not provide user-selectable degrees).
Beat Builder has a user-selectable quantization feature.